Neither the x component of the vector nor the y
component of the vector can be greater than the magnitude of the
vector. Because, we calculate the magnitude of the vector by using
the Pythagoras theorem, that is the square root of the sum of the
square of each component of the vector gives the magnitude.

Let us explain it with an example. Consider a vector A
with its components

The magnitude of this vector is,

From this equation, we can conclude that x component of
the vector nor the y component of the vector can be greater
than the magnitude of the vector.